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* Solvers for large and sparse matrix Riccati (algebraic and differential) and Lyapunov (algebraic) equations | * Solvers for large and sparse matrix Riccati (algebraic and differential) and Lyapunov (algebraic) equations | ||
* Balanced Truncation based MOR for first and second order state space systems and index 1 DAEs | * Balanced Truncation based MOR for first and second order state space systems and index 1 DAEs | ||
* <math>\mathcal{H}_2</math> MOR via the IRKA and TSIA algorithms | * <math>\mathcal{H}_2</math>-MOR via the IRKA and TSIA algorithms | ||
* Basic tools for Large sparse linear quadratic optimal control problems | * Basic tools for Large sparse linear quadratic optimal control problems | ||
Revision as of 16:41, 15 November 2012
MESS, the Matrix Equations and Sparse Solvers library, is the successor to the Lyapack Toolbox for MATLAB. It will be available as a MATLAB toolbox, as well as, a C-library. It is intended for solving large sparse matrix equations as well as problems from model order reduction and optimal control. The C version provides a large set of axillary subroutines for sparse matrix computations and efficient usage of modern multicore workstations.
A list of the main features (some prtially finished at the current stage) of both the MATLAB and C versions is:
- Solvers for large and sparse matrix Riccati (algebraic and differential) and Lyapunov (algebraic) equations
- Balanced Truncation based MOR for first and second order state space systems and index 1 DAEs
- -MOR via the IRKA and TSIA algorithms
- Basic tools for Large sparse linear quadratic optimal control problems
The C version moreover provides:
- sophisticated Multicore parallelism
- compressed file I/O
- uniform access to linear algebra routines
- specially structured Sylvester equation solvers
- interfaces to BLAS, LAPACK, Suitesparse, Slicot
Contact information:
Jens Saak